What is the Greatest Common Factor of 43605 and 43624?

Greatest common factor (GCF) of 43605 and 43624 is 19.

GCF(43605,43624) = 19

We will now calculate the prime factors of 43605 and 43624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43605 and 43624.

How to find the GCF of 43605 and 43624?

We will first find the prime factorization of 43605 and 43624. After we will calculate the factors of 43605 and 43624 and find the biggest common factor number .

Step-1: Prime Factorization of 43605

Prime factors of 43605 are 3, 5, 17, 19. Prime factorization of 43605 in exponential form is:

43605 = 3³ × 5¹ × 17¹ × 19¹

Step-2: Prime Factorization of 43624

Prime factors of 43624 are 2, 7, 19, 41. Prime factorization of 43624 in exponential form is:

43624 = 2³ × 7¹ × 19¹ × 41¹

Step-3: Factors of 43605

List of positive integer factors of 43605 that divides 43605 without a remainder.

1, 3, 5, 9, 15, 17, 19, 27, 45, 51, 57, 85, 95, 135, 153, 171, 255, 285, 323, 459, 513, 765, 855, 969, 1615, 2295, 2565, 2907, 4845, 8721, 14535

Step-4: Factors of 43624

List of positive integer factors of 43624 that divides 43605 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 38, 41, 56, 76, 82, 133, 152, 164, 266, 287, 328, 532, 574, 779, 1064, 1148, 1558, 2296, 3116, 5453, 6232, 10906, 21812

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43605 and 43624. The biggest common factor number is the GCF number.
So the greatest common factor 43605 and 43624 is 19.

Also check out the Least Common Multiple of 43605 and 43624